We give a description of certain categories of equivariant coherent sheaves on Grothendieck's resolution in terms of the categorical affine Hecke algebra of Soergel. As an application, we deduce a relationship of these coherent sheaf categories to the categories of perverse sheaves considered in the work of Bezrukavnikov-Yun, generalizing results of Arkhipov-Bezrukavnikov. In addition, we deduce that the weak braid group action on sheaves of Riche and Bezrukavnikov-Riche can be upgraded to a... Source: http://arxiv.org/abs/1108.4028v1
We study a certain cycle map defined on finite dimensional modules for the W-algebra with regular integral central character. Via comparison with the theory in postive characteristic, we show that this map injects into the top Borel-Moore homology group of a Springer fibre. This is the first result in a larger program to completely desribe the finite dimensional modules for the W algebras. Source: http://arxiv.org/abs/1009.2456v3
Since 1908, robber baron oligarchs have been using a network of private organizations to hijack foreign diplomacy, localities, and public education, under the disguise of "charitable organizations" or "foundations". This is not a "conspiracy theory", rather it is a fact - as determined in congressional hearings in 1953. This rare PDF file is the digitized prime record of the Dodd report to those hearings. The robber baron families have tried strenuously to keep... ( 1 reviews ) Topics: politics, institutions, religion, United Nations, G. Edward Griffin, collectivism, individualism,...
byChristopher Dodd; Andrew Marks; Victor Meyerson; Ben Richert
We give conditions for determining the extremal behavior for the (graded) Betti numbers of squarefree monomial ideals. For the case of non-unique minima, we give several conditions which we use to produce infinite families, exponentially growing with dimension, of Hilbert functions which have no smallest (graded) Betti numbers among squarefree monomial ideals and all ideals. For the case of unique minima, we give two families of Hilbert functions, one with exponential and one with linear growth... Source: http://arxiv.org/abs/math/0604479v2